| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 8550.a1 |
8550n1 |
8550.a |
8550n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{11} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$0.627916204$ |
$1$ |
|
$11$ |
$23040$ |
$1.173334$ |
$96386901625/18468$ |
$0.97983$ |
$4.58818$ |
$[1, -1, 0, -21492, 1217916]$ |
\(y^2+xy=x^3-x^2-21492x+1217916\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(90, 36)]$ |
| 8550.a2 |
8550n2 |
8550.a |
8550n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2 \cdot 3^{16} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$1.255832408$ |
$1$ |
|
$6$ |
$46080$ |
$1.519909$ |
$-69173457625/42633378$ |
$0.99175$ |
$4.63163$ |
$[1, -1, 0, -19242, 1481166]$ |
\(y^2+xy=x^3-x^2-19242x+1481166\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(15, 1086)]$ |
| 8550.b1 |
8550h4 |
8550.b |
8550h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{26} \cdot 5^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1720320$ |
$3.427433$ |
$207530301091125281552569/805586668007040$ |
$1.05095$ |
$7.72479$ |
$[1, -1, 0, -277524792, 1779574887616]$ |
\(y^2+xy=x^3-x^2-277524792x+1779574887616\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.y.1.7, $\ldots$ |
$[]$ |
| 8550.b2 |
8550h3 |
8550.b |
8550h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{11} \cdot 5^{10} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1720320$ |
$3.427433$ |
$1412712966892699019449/330160465517040000$ |
$1.04349$ |
$7.17366$ |
$[1, -1, 0, -52596792, -113348600384]$ |
\(y^2+xy=x^3-x^2-52596792x-113348600384\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.1, 24.24.0-24.s.1.8, $\ldots$ |
$[]$ |
| 8550.b3 |
8550h2 |
8550.b |
8550h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{16} \cdot 5^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$860160$ |
$3.080860$ |
$52974743974734147769/3152005008998400$ |
$1.02895$ |
$6.81100$ |
$[1, -1, 0, -17604792, 26934327616]$ |
\(y^2+xy=x^3-x^2-17604792x+26934327616\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.b.1.5, $\ldots$ |
$[]$ |
| 8550.b4 |
8550h1 |
8550.b |
8550h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3^{11} \cdot 5^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$430080$ |
$2.734283$ |
$5495662324535111/117739817533440$ |
$1.03950$ |
$6.19362$ |
$[1, -1, 0, 827208, 1737783616]$ |
\(y^2+xy=x^3-x^2+827208x+1737783616\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 8550.c1 |
8550r1 |
8550.c |
8550r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{4} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.012348$ |
$-23891790625/1181952$ |
$1.01527$ |
$4.08764$ |
$[1, -1, 0, -4617, -124659]$ |
\(y^2+xy=x^3-x^2-4617x-124659\) |
228.2.0.? |
$[]$ |
| 8550.d1 |
8550m2 |
8550.d |
8550m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$0.106985233$ |
$1$ |
|
$8$ |
$6912$ |
$0.688125$ |
$-1392225385/1316928$ |
$0.92383$ |
$3.51607$ |
$[1, -1, 0, -612, 9616]$ |
\(y^2+xy=x^3-x^2-612x+9616\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 228.8.0.?, 1140.16.0.? |
$[(80, 644)]$ |
| 8550.d2 |
8550m1 |
8550.d |
8550m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$0.320955699$ |
$1$ |
|
$6$ |
$2304$ |
$0.138819$ |
$1503815/2052$ |
$0.84655$ |
$2.68841$ |
$[1, -1, 0, 63, -239]$ |
\(y^2+xy=x^3-x^2+63x-239\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 228.8.0.?, 1140.16.0.? |
$[(8, 23)]$ |
| 8550.e1 |
8550l4 |
8550.e |
8550l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$0.559444239$ |
$1$ |
|
$8$ |
$165888$ |
$2.473125$ |
$46237740924063961/1806561830400$ |
$1.00221$ |
$6.03300$ |
$[1, -1, 0, -1682442, 811529716]$ |
\(y^2+xy=x^3-x^2-1682442x+811529716\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.ca.1, $\ldots$ |
$[(989, 10193)]$ |
| 8550.e2 |
8550l2 |
8550.e |
8550l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{12} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1.678332717$ |
$1$ |
|
$6$ |
$55296$ |
$1.923819$ |
$148212258825961/1218375000$ |
$0.97315$ |
$5.39868$ |
$[1, -1, 0, -248067, -47154659]$ |
\(y^2+xy=x^3-x^2-248067x-47154659\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.ca.1, $\ldots$ |
$[(-271, 473)]$ |
| 8550.e3 |
8550l1 |
8550.e |
8550l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$3.356665434$ |
$1$ |
|
$5$ |
$27648$ |
$1.577246$ |
$-1263214441/110808000$ |
$0.98712$ |
$4.66472$ |
$[1, -1, 0, -5067, -1713659]$ |
\(y^2+xy=x^3-x^2-5067x-1713659\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.cd.1, $\ldots$ |
$[(158, 1109)]$ |
| 8550.e4 |
8550l3 |
8550.e |
8550l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3^{8} \cdot 5^{7} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1.118888478$ |
$1$ |
|
$7$ |
$82944$ |
$2.126553$ |
$918046641959/80912056320$ |
$1.02394$ |
$5.39151$ |
$[1, -1, 0, 45558, 46025716]$ |
\(y^2+xy=x^3-x^2+45558x+46025716\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.cd.1, $\ldots$ |
$[(-91, 6458)]$ |
| 8550.f1 |
8550e2 |
8550.f |
8550e |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{10} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$288000$ |
$2.507973$ |
$-1389310279182025/267418692$ |
$1.01569$ |
$6.35697$ |
$[1, -1, 0, -4471992, 3641708916]$ |
\(y^2+xy=x^3-x^2-4471992x+3641708916\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 228.2.0.?, 380.24.0.?, 1140.48.1.? |
$[]$ |
| 8550.f2 |
8550e1 |
8550.f |
8550e |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{21} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.703253$ |
$480705753733655/279172334592$ |
$1.08504$ |
$4.81758$ |
$[1, -1, 0, 42948, -214704]$ |
\(y^2+xy=x^3-x^2+42948x-214704\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 228.2.0.?, 380.24.0.?, 1140.48.1.? |
$[]$ |
| 8550.g1 |
8550f2 |
8550.g |
8550f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.798016$ |
$468898230633769/5540400$ |
$0.97926$ |
$5.52589$ |
$[1, -1, 0, -364167, -84494259]$ |
\(y^2+xy=x^3-x^2-364167x-84494259\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
| 8550.g2 |
8550f1 |
8550.g |
8550f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.451443$ |
$-105756712489/12476160$ |
$0.92671$ |
$4.61892$ |
$[1, -1, 0, -22167, -1388259]$ |
\(y^2+xy=x^3-x^2-22167x-1388259\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
| 8550.h1 |
8550o1 |
8550.h |
8550o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1.054898886$ |
$1$ |
|
$4$ |
$30720$ |
$1.564121$ |
$272199695/3735552$ |
$0.95892$ |
$4.64034$ |
$[1, -1, 0, 8883, 1533541]$ |
\(y^2+xy=x^3-x^2+8883x+1533541\) |
228.2.0.? |
$[(-22, 1163)]$ |
| 8550.i1 |
8550a2 |
8550.i |
8550a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3^{9} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.839777555$ |
$1$ |
|
$8$ |
$12288$ |
$1.025841$ |
$149721291/722$ |
$0.93693$ |
$4.23788$ |
$[1, -1, 0, -7467, 249191]$ |
\(y^2+xy=x^3-x^2-7467x+249191\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(19, 328)]$ |
| 8550.i2 |
8550a1 |
8550.i |
8550a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.679555110$ |
$1$ |
|
$7$ |
$6144$ |
$0.679266$ |
$132651/76$ |
$1.00985$ |
$3.46153$ |
$[1, -1, 0, -717, -559]$ |
\(y^2+xy=x^3-x^2-717x-559\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-1, 13)]$ |
| 8550.j1 |
8550q2 |
8550.j |
8550q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3^{20} \cdot 5^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$6.520310382$ |
$1$ |
|
$2$ |
$107520$ |
$2.037960$ |
$428831641421/181752822$ |
$0.98464$ |
$5.28635$ |
$[1, -1, 0, -176742, -14750834]$ |
\(y^2+xy=x^3-x^2-176742x-14750834\) |
2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(465, 1624)]$ |
| 8550.j2 |
8550q1 |
8550.j |
8550q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{13} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$3.260155191$ |
$1$ |
|
$5$ |
$53760$ |
$1.691387$ |
$3936827539/3158028$ |
$0.95500$ |
$4.76825$ |
$[1, -1, 0, 37008, -1712084]$ |
\(y^2+xy=x^3-x^2+37008x-1712084\) |
2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(215, 3911)]$ |
| 8550.k1 |
8550p2 |
8550.k |
8550p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$4.508481911$ |
$1$ |
|
$2$ |
$15360$ |
$1.065233$ |
$14809006736693/34656$ |
$1.03845$ |
$4.61097$ |
$[1, -1, 0, -23022, -1338764]$ |
\(y^2+xy=x^3-x^2-23022x-1338764\) |
2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? |
$[(185, 749)]$ |
| 8550.k2 |
8550p1 |
8550.k |
8550p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$2.254240955$ |
$1$ |
|
$5$ |
$7680$ |
$0.718659$ |
$-3491055413/175104$ |
$0.98978$ |
$3.69756$ |
$[1, -1, 0, -1422, -21164]$ |
\(y^2+xy=x^3-x^2-1422x-21164\) |
2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? |
$[(89, 698)]$ |
| 8550.l1 |
8550d1 |
8550.l |
8550d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2 \cdot 3^{6} \cdot 5^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.609061$ |
$357911/950$ |
$0.81125$ |
$3.34820$ |
$[1, -1, 0, 333, -4509]$ |
\(y^2+xy=x^3-x^2+333x-4509\) |
152.2.0.? |
$[]$ |
| 8550.m1 |
8550i3 |
8550.m |
8550i |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{27} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$20520$ |
$1296$ |
$43$ |
$5.646036841$ |
$1$ |
|
$0$ |
$77760$ |
$1.839195$ |
$-69173457625/2550136832$ |
$1.05462$ |
$5.01210$ |
$[1, -1, 0, -19242, 8268916]$ |
\(y^2+xy=x^3-x^2-19242x+8268916\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 27.36.0.a.1, 45.24.0-9.a.1.1, $\ldots$ |
$[(711/2, 25139/2)]$ |
| 8550.m2 |
8550i1 |
8550.m |
8550i |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$20520$ |
$1296$ |
$43$ |
$5.646036841$ |
$1$ |
|
$0$ |
$8640$ |
$0.740582$ |
$-413493625/152$ |
$0.93281$ |
$3.98612$ |
$[1, -1, 0, -3492, -78584]$ |
\(y^2+xy=x^3-x^2-3492x-78584\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 27.36.0.a.1, 45.24.0-9.a.1.2, $\ldots$ |
$[(1111/3, 29821/3)]$ |
| 8550.m3 |
8550i2 |
8550.m |
8550i |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$20520$ |
$1296$ |
$43$ |
$1.882012280$ |
$1$ |
|
$2$ |
$25920$ |
$1.289888$ |
$94196375/3511808$ |
$1.01875$ |
$4.28102$ |
$[1, -1, 0, 2133, -302459]$ |
\(y^2+xy=x^3-x^2+2133x-302459\) |
3.12.0.a.1, 9.36.0.b.1, 15.24.0-3.a.1.1, 45.72.0-9.b.1.1, 152.2.0.?, $\ldots$ |
$[(189, 2518)]$ |
| 8550.n1 |
8550k2 |
8550.n |
8550k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{12} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$2.323701386$ |
$1$ |
|
$4$ |
$129024$ |
$2.023540$ |
$882774443450089/2166000000$ |
$0.98264$ |
$5.59577$ |
$[1, -1, 0, -449667, 115926741]$ |
\(y^2+xy=x^3-x^2-449667x+115926741\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(349, 1013)]$ |
| 8550.n2 |
8550k1 |
8550.n |
8550k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.161850693$ |
$1$ |
|
$7$ |
$64512$ |
$1.676970$ |
$-53540005609/350208000$ |
$0.96547$ |
$4.80046$ |
$[1, -1, 0, -17667, 3174741]$ |
\(y^2+xy=x^3-x^2-17667x+3174741\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(-141, 1758)]$ |
| 8550.o1 |
8550j2 |
8550.o |
8550j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{12} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1.580806132$ |
$1$ |
|
$6$ |
$36864$ |
$1.602091$ |
$6947097508441/10687500$ |
$0.95430$ |
$5.06066$ |
$[1, -1, 0, -89442, -10259784]$ |
\(y^2+xy=x^3-x^2-89442x-10259784\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[(-171, 198)]$ |
| 8550.o2 |
8550j1 |
8550.o |
8550j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$0.790403066$ |
$1$ |
|
$9$ |
$18432$ |
$1.255518$ |
$-594823321/2166000$ |
$1.06643$ |
$4.24566$ |
$[1, -1, 0, -3942, -256284]$ |
\(y^2+xy=x^3-x^2-3942x-256284\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[(99, 513)]$ |
| 8550.p1 |
8550c2 |
8550.p |
8550c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.865330$ |
$260549802603/104256800$ |
$1.06336$ |
$5.06205$ |
$[1, -1, 0, -89817, -5732659]$ |
\(y^2+xy=x^3-x^2-89817x-5732659\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 8550.p2 |
8550c1 |
8550.p |
8550c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.518755$ |
$2161700757/1848320$ |
$1.04165$ |
$4.53277$ |
$[1, -1, 0, 18183, -656659]$ |
\(y^2+xy=x^3-x^2+18183x-656659\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
| 8550.q1 |
8550b2 |
8550.q |
8550b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.043042238$ |
$1$ |
|
$6$ |
$30720$ |
$1.209726$ |
$651038076963/7220000$ |
$1.04112$ |
$4.43513$ |
$[1, -1, 0, -13542, 604116]$ |
\(y^2+xy=x^3-x^2-13542x+604116\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(49, 213)]$ |
| 8550.q2 |
8550b1 |
8550.q |
8550b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$2.086084476$ |
$1$ |
|
$5$ |
$15360$ |
$0.863152$ |
$961504803/486400$ |
$0.92981$ |
$3.71522$ |
$[1, -1, 0, -1542, -7884]$ |
\(y^2+xy=x^3-x^2-1542x-7884\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-11, 93)]$ |
| 8550.r1 |
8550g4 |
8550.r |
8550g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{7} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.758713$ |
$100162392144121/23457780$ |
$0.97072$ |
$5.35540$ |
$[1, -1, 0, -217692, 39140716]$ |
\(y^2+xy=x^3-x^2-217692x+39140716\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$ |
$[]$ |
| 8550.r2 |
8550g3 |
8550.r |
8550g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.758713$ |
$9912050027641/311647500$ |
$0.95744$ |
$5.09992$ |
$[1, -1, 0, -100692, -11934284]$ |
\(y^2+xy=x^3-x^2-100692x-11934284\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 8550.r3 |
8550g2 |
8550.r |
8550g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$49152$ |
$1.412140$ |
$34043726521/11696400$ |
$0.92900$ |
$4.47323$ |
$[1, -1, 0, -15192, 463216]$ |
\(y^2+xy=x^3-x^2-15192x+463216\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 60.24.0-20.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 8550.r4 |
8550g1 |
8550.r |
8550g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.065565$ |
$214921799/218880$ |
$0.88983$ |
$3.91377$ |
$[1, -1, 0, 2808, 49216]$ |
\(y^2+xy=x^3-x^2+2808x+49216\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 8550.s1 |
8550bh3 |
8550.s |
8550bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{11} \cdot 5^{7} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$737280$ |
$2.841515$ |
$13209596798923694545921/92340$ |
$1.04393$ |
$7.42057$ |
$[1, -1, 1, -110808005, -448929368503]$ |
\(y^2+xy+y=x^3-x^2-110808005x-448929368503\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 152.24.0.?, 570.6.0.?, $\ldots$ |
$[]$ |
| 8550.s2 |
8550bh4 |
8550.s |
8550bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{26} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$737280$ |
$2.841515$ |
$3345930611358906241/165622259047500$ |
$1.08127$ |
$6.50592$ |
$[1, -1, 1, -7011005, -6831098503]$ |
\(y^2+xy+y=x^3-x^2-7011005x-6831098503\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 8550.s3 |
8550bh2 |
8550.s |
8550bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$368640$ |
$2.494942$ |
$3225005357698077121/8526675600$ |
$1.01809$ |
$6.50186$ |
$[1, -1, 1, -6925505, -7013213503]$ |
\(y^2+xy+y=x^3-x^2-6925505x-7013213503\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 76.24.0.?, 1140.48.0.? |
$[]$ |
| 8550.s4 |
8550bh1 |
8550.s |
8550bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{7} \cdot 19^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$184320$ |
$2.148365$ |
$-758575480593601/40535043840$ |
$0.98308$ |
$5.58878$ |
$[1, -1, 1, -427505, -112337503]$ |
\(y^2+xy+y=x^3-x^2-427505x-112337503\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 152.24.0.?, $\ldots$ |
$[]$ |
| 8550.t1 |
8550ba3 |
8550.t |
8550ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$9.001098919$ |
$4$ |
$2$ |
$0$ |
$73728$ |
$1.718540$ |
$3107086841064961/570$ |
$0.98891$ |
$5.73476$ |
$[1, -1, 1, -684005, -217568253]$ |
\(y^2+xy+y=x^3-x^2-684005x-217568253\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(22427/2, 3297093/2)]$ |
| 8550.t2 |
8550ba4 |
8550.t |
8550ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{10} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.250274729$ |
$1$ |
|
$0$ |
$73728$ |
$1.718540$ |
$1177918188481/488703750$ |
$0.96253$ |
$4.86466$ |
$[1, -1, 1, -49505, -2243253]$ |
\(y^2+xy+y=x^3-x^2-49505x-2243253\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.1, $\ldots$ |
$[(-529/2, 11775/2)]$ |
| 8550.t3 |
8550ba2 |
8550.t |
8550ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$4.500549459$ |
$1$ |
|
$4$ |
$36864$ |
$1.371967$ |
$758800078561/324900$ |
$0.93871$ |
$4.81608$ |
$[1, -1, 1, -42755, -3390753]$ |
\(y^2+xy+y=x^3-x^2-42755x-3390753\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(263, 1740)]$ |
| 8550.t4 |
8550ba1 |
8550.t |
8550ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.250274729$ |
$1$ |
|
$5$ |
$18432$ |
$1.025393$ |
$-111284641/123120$ |
$0.87799$ |
$3.95912$ |
$[1, -1, 1, -2255, -69753]$ |
\(y^2+xy+y=x^3-x^2-2255x-69753\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.2, $\ldots$ |
$[(113, 996)]$ |
| 8550.u1 |
8550z2 |
8550.u |
8550z |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2280$ |
$48$ |
$1$ |
$4.832118140$ |
$1$ |
|
$0$ |
$24000$ |
$1.371809$ |
$-37966934881/4952198$ |
$0.97714$ |
$4.50773$ |
$[1, -1, 1, -15755, 846497]$ |
\(y^2+xy+y=x^3-x^2-15755x+846497\) |
5.12.0.a.2, 15.24.0-5.a.2.2, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[(-149/2, 9545/2)]$ |
| 8550.u2 |
8550z1 |
8550.u |
8550z |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$0.966423628$ |
$1$ |
|
$4$ |
$4800$ |
$0.567091$ |
$-1/608$ |
$1.37833$ |
$3.32607$ |
$[1, -1, 1, -5, -4003]$ |
\(y^2+xy+y=x^3-x^2-5x-4003\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[(19, 40)]$ |
